Open AccessOn coupled first and second order boundary value problems in ordered Banach spaces
Author(s) -
Gerd Herzog,
Roland Lemmert
Publication year - 2010
Publication title -
demonstratio mathematica
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.541
H-Index - 28
eISSN - 2391-4661
pISSN - 0420-1213
DOI - 10.1515/dema-2013-0264
Subject(s) - mathematics , banach space , order (exchange) , boundary value problem , eberlein–šmulian theorem , pure mathematics , value (mathematics) , mathematical analysis , lp space , statistics , finance , economics
By means of a result on coupled first and second order differential inequalities and an intermediate value theorem in ordered Banach spaces, we obtain the existence of extremal solutions of boundary value problems of the form